Calculation of the motion of a flight vehicle using time-equidistant data

The motion of a flight vehicle is given in terms of initial conditions and a discrete, time-equidistant data set. Either the position, the velocity or the acceleration must be chosen. It is shown that these functions are special cases of an analytical function which can be derived through the use of the Bernstein polynomial. It is possible to treat nine separate applications with the same algorithm. The usefulness of this method will be demonstrated in a sample calculation of the motion of a rocket.